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Finding the Fourth Proportional to 6,913.63, 10,370.44 and 2,296.63

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Solution

The fourth proportional to 6,913.63, 10,370.44 and 2,296.63 is: 3,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.63 : 10,370.44 = 2,296.63 : x
  2. Step 2: Convert to fraction form
    6,913.63/10,370.44 = 2,296.63/x
  3. Step 3: Cross multiply
    6,913.63x = 10,370.44 × 2,296.63
  4. Step 4: Simplify right side
    6,913.63x = 23,817,011.77
  5. Step 5: Solve for x
    x = 23,817,011.77/6,913.63
  6. Step 6: Final answer
    x = 3,444.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.